Equality of numerical ranges of matrix powers

DOI10.1016/J.LAA.2019.05.013zbMath1422.15008OpenAlexW2946783106WikidataQ127892819 ScholiaQ127892819MaRDI QIDQ2321350

Pei Yuan Wu, Hwa-Long Gau, Kuo-Zhong Wang

Publication date: 29 August 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2019.05.013

zbMATH Keywords

numerical rangenormal matrixidempotent matrixmatrix powers

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12)

Related Items (1)

Matrix powers with circular numerical range

Cites Work

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• Numerical ranges as circular discs
• The numerical range of \(3 \times 3\) matrices
• Companion matrices: Reducibility, numerical ranges and similarity to contractions
• Condition for the numerical range to contain an elliptic disc
• Matricial ranges of quadratic operators
• Dilation to inflations of s(φ)
• Constant norms and numerical radii of matrix powers
• On the numerical range of a matrix
• Equality of higher-rank numerical ranges of matrices

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